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Finding the Third Proportional to 217,859.63 and 447,747.75

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Solution

The third proportional to 217,859.63 and 447,747.75 is: 920,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,859.63 : 447,747.75 = 447,747.75 : x
  2. Step 2: Convert to fraction form
    217,859.63/447,747.75 = 447,747.75/x
  3. Step 3: Cross multiply
    217,859.63x = 447,747.75 × 447,747.75
  4. Step 4: Simplify right side
    217,859.63x = 200,478,047,630.06
  5. Step 5: Solve for x
    x = 200,478,047,630.06/217,859.63
  6. Step 6: Final answer
    x = 920,216.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.